Question

If x^51+51is divided by x+1 then the remainder is?
If x^51+52 is divided by x+1 then the remainder is?

Answer 1

Answer:

Remainder = 50

Step-by-step explanation:

Let p(x) = X^51 + 51

And g(x) = X + 1

Also, Root Of g(x) = -1 (because -1 + 1 = 0)

Now, According to remainder Theorem,

Remainder = P(Root Of g(x))

= p(-1)

= -1^51 + 51

= -1 + 51

= 50